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Albert Einstein reportedly required 10 hours of sleep per night. He emphasized the importance of a good night's sleep for creativity and problem-solving.


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Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hoursBoth the pipes are opened and after two hours pipe A is closedHow much time will B take to fill the remaining part of the tan?

Answer:10/3 hour = 3 Hour and 20 minutesSolution:the volume of cistern (V) = 1 volume unitflow rate of pipe A = 1/6 V/hourflow rate of pipe B = 1/8 V/hourVolume filled = flow rate * timein the first two hours the volume filled = 1/6 * 2 + 1/8 *2 = 7/12 V.Remaining Volume = 1-7/12=5/12the folw rate after two hours = 1/8 (just pipe B)required time for pipe B to fill the cistern = Volume / flow rate of the pipe B= 5/12 divided by 1/8= 5/12 * 8/1 = 10/3 hours = 3 and 1/3 hours = 3 hours and 20 minutes.Check:if the answer is correct the volume should be 1:Total volume = 1/6*2 + 1/8*2 + 1/8*10/3 = 1.so, the answer is correct.Cheers!